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Finding the Fourth Proportional to 12,045.80, 18,054.30 and 6,199.40

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Solution

The fourth proportional to 12,045.80, 18,054.30 and 6,199.40 is: 9,291.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.80 : 18,054.30 = 6,199.40 : x
  2. Step 2: Convert to fraction form
    12,045.80/18,054.30 = 6,199.40/x
  3. Step 3: Cross multiply
    12,045.80x = 18,054.30 × 6,199.40
  4. Step 4: Simplify right side
    12,045.80x = 111,925,827.42
  5. Step 5: Solve for x
    x = 111,925,827.42/12,045.80
  6. Step 6: Final answer
    x = 9,291.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.